3 problems

Let $L=2n+1$ with $n\geqslant 0$, let $\eta=pi/3$, and let $V$ be the two-dimensional spin space. For inhomogeneity parameters $u1,\dots,u{2n+1}$, consider the eigenvalue problem ……

Let $L\geqslant 1$, let $u_1,\dots,u_L$ be inhomogeneity parameters, and define the inhomogeneous open-boundary transfer matrix … where $K^-(u)=K(u)$, $K^+(u)=K(u+2\eta)$, … … Set…

Let $L=2n+1$, let $T_L(u|x_1,\ldots,x_L)$ be the inhomogeneous eight-vertex transfer matrix, and let $\Psi_L(x_1,\ldots,x_L)$ satisfy the eigenvector equations with eigenvalue…